00:05
We have the complex number negative 3i, and we want to plot this on the real and imaginary axes, and then turn this into polar form.
00:19
Well, the real axis is always the horizontal axis, the imaginary axis is your vertical axis, and polar, or sorry, rectangular form for this is a plus b .i, and a is the real part, and the b .i is the imaginary part, and then it is.
00:37
It's the values of a and b that we plot over here on our axes.
00:42
So in this case, a is zero, and b is negative three.
00:46
So zero on the real axis, down to negative three on the imaginary axis, and there's my plot of negative 3i.
00:58
Now for polar form, i need two things.
01:01
I need the radius from the origin down to my plot.
01:06
So there's that.
01:10
And i need the angles this is making with the positive real axis.
01:15
And we usually use the counterclockwise direction for angle theta...